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34315203450 = 235211197229461
BaseRepresentation
bin11111111101010110…
…000111001101111010
310021120111002221200010
4133331112013031322
51030234143002300
623433021522350
72323235262633
oct377526071572
9107514087603
1034315203450
111360a046280
1267981133b6
13330b3a8718
1419375ac88a
15d5c8b2a50
hex7fd58737a

34315203450 has 192 divisors, whose sum is σ = 93920238720. Its totient is φ = 8222592000.

The previous prime is 34315203407. The next prime is 34315203451. The reversal of 34315203450 is 5430251343.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (34315203451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74436220 + ... + 74436680.

It is an arithmetic number, because the mean of its divisors is an integer number (489167910).

Almost surely, 234315203450 is an apocalyptic number.

34315203450 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34315203450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46960119360).

34315203450 is an abundant number, since it is smaller than the sum of its proper divisors (59605035270).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34315203450 is a wasteful number, since it uses less digits than its factorization.

34315203450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 34315203450 its reverse (5430251343), we get a palindrome (39745454793).

The spelling of 34315203450 in words is "thirty-four billion, three hundred fifteen million, two hundred three thousand, four hundred fifty".